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Simplifying 8s2 + -22s + 9 = 0 Reorder the terms: 9 + -22s + 8s2 = 0 Solving 9 + -22s + 8s2 = 0 Solving for variable 's'. Factor a trinomial. (1 + -2s)(9 + -4s) = 0Subproblem 1
Set the factor '(1 + -2s)' equal to zero and attempt to solve: Simplifying 1 + -2s = 0 Solving 1 + -2s = 0 Move all terms containing s to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2s = 0 + -1 -2s = 0 + -1 Combine like terms: 0 + -1 = -1 -2s = -1 Divide each side by '-2'. s = 0.5 Simplifying s = 0.5Subproblem 2
Set the factor '(9 + -4s)' equal to zero and attempt to solve: Simplifying 9 + -4s = 0 Solving 9 + -4s = 0 Move all terms containing s to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -4s = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4s = 0 + -9 -4s = 0 + -9 Combine like terms: 0 + -9 = -9 -4s = -9 Divide each side by '-4'. s = 2.25 Simplifying s = 2.25Solution
s = {0.5, 2.25}
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